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Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions

机译:涉及V型I凸函数的非光滑多目标优化中的最优性和对偶性

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A new class of generalized V-type I invex functions is introduced for nonsmooth multiobjective programming problem. Based upon these generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution. Weak, strong, and strict converse duality theorems are proved for Mond-Weir type dual program in order to relate the weakly efficient solutions of primal and dual programs.
机译:针对非光滑的多目标编程问题,引入了一类新的广义V型I不变凸函数。基于这些广义凸函数,我们为可行点建立了足够的最优性条件,以使其成为有效或较弱的解决方案。 Mond-Weir型对偶程序证明了弱,强和严格的逆对偶性定理,以便将原始和对偶程序的弱有效解联系起来。

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